QMM2400 F19 Chapter 5 review problems solution.pdf - QMM2400 F19 Chp 5 Review Problems Solution 1 A municipal bus company has started operations in a

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QMM2400 F19 Chp 5 Review Problems Solution Page: 1 of 6 1) A municipal bus company has started operations in a new subdivision. Records were kept on the numbers of riders from this subdivision during the early-morning service. The table below shows the proportion of weekdays with the various number of riders from this subdivision during the early-morning service. a) Sketch the probability distribution b) Find and sketch the cumulative distribution c) What is the probability that on a randomly chosen weekday there will be at least four riders from the subdivision on the bus? 32 . 0 02 . 0 03 . 0 08 . 0 19 . 0 ) 4 ( Riders P d) Two weekdays are chosen at random. What is the probability that on both of these days there will be fewer than three riders from the subdivision on this bus? 37 . 0 23 . 0 12 . 0 02 . 0 ) 3 ( Riders P Assuming days are independent: 0.37(0.37) = 0.137 e) Find the mean and standard deviation of the number of riders from this subdivision on the bus on a weekday. 99 . 2 ) 02 . 0 ( 7 ... ) 23 . 0 ( 2 ) 12 . 0 ( 1 ) 02 . 0 ( 0 ] [ Riders E 41 . 1 ) 02 . 0 ( ) 99 . 2 7 ( ... ) 12 . 0 ( ) 99 . 2 1 ( ) 02 . 0 ( ) 99 . 2 0 ( ] [ 2 2 2 Riders Stddev Number of riders 0 1 2 3 4 5 6 7 Proportion of days 0.02 0.12 0.23 0.31 0.19 0.08 0.03 0.02 Number of riders 0 1 2 3 4 5 6 7 Cumulative 0.02 0.14 0.37 0.68 0.87 0.95 0.98 1 0 0.2 0.4 0.6 0.8 1 1.2 0 1 2 3 4 5 6 7 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0 1 2 3 4 5 6 7